K13a1019
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Polynomial invariants
| Jones polynomial | Data:K13a1019/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-33 t^2+86 t-115+86 t^{-1} -33 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1019/Conway Polynomial |
| Determinant | 363 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +3 z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} +5 z^4 a^{-4} -z^4 a^{-6} -z^4 a^{-8} -2 z^4+a^2 z^2-7 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +8 z^{11} a^{-3} +16 z^{11} a^{-5} +8 z^{11} a^{-7} +14 z^{10} a^{-2} +30 z^{10} a^{-4} +29 z^{10} a^{-6} +13 z^{10} a^{-8} +14 z^9 a^{-1} +15 z^9 a^{-3} -z^9 a^{-5} +9 z^9 a^{-7} +11 z^9 a^{-9} -16 z^8 a^{-2} -70 z^8 a^{-4} -73 z^8 a^{-6} -23 z^8 a^{-8} +5 z^8 a^{-10} +9 z^8+4 a z^7-26 z^7 a^{-1} -68 z^7 a^{-3} -72 z^7 a^{-5} -62 z^7 a^{-7} -27 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6-5 z^6 a^{-2} +44 z^6 a^{-4} +45 z^6 a^{-6} +z^6 a^{-8} -12 z^6 a^{-10} -16 z^6-7 a z^5+24 z^5 a^{-1} +81 z^5 a^{-3} +91 z^5 a^{-5} +64 z^5 a^{-7} +21 z^5 a^{-9} -2 z^5 a^{-11} -2 a^2 z^4+24 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} +11 z^4 a^{-8} +9 z^4 a^{-10} +12 z^4+3 a z^3-13 z^3 a^{-1} -37 z^3 a^{-3} -41 z^3 a^{-5} -28 z^3 a^{-7} -7 z^3 a^{-9} +z^3 a^{-11} +a^2 z^2-17 z^2 a^{-2} -9 z^2 a^{-4} -3 z^2 a^{-6} -5 z^2 a^{-8} -2 z^2 a^{-10} -7 z^2+2 z a^{-1} +6 z a^{-3} +8 z a^{-5} +5 z a^{-7} +z a^{-9} +2 a^{-2} + a^{-4} +2 }[/math] |
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